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Finding the Fourth Proportional to 105,568.24, 145,599.24 and 81,759.28

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Solution

The fourth proportional to 105,568.24, 145,599.24 and 81,759.28 is: 112,762.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,568.24 : 145,599.24 = 81,759.28 : x
  2. Step 2: Convert to fraction form
    105,568.24/145,599.24 = 81,759.28/x
  3. Step 3: Cross multiply
    105,568.24x = 145,599.24 × 81,759.28
  4. Step 4: Simplify right side
    105,568.24x = 11,904,089,030.95
  5. Step 5: Solve for x
    x = 11,904,089,030.95/105,568.24
  6. Step 6: Final answer
    x = 112,762.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.